Question

Jamie says the value of the expression 1.43 ×(-24/47) is close to −0.75. Does Jamie's estimate seem reasonable? Explain.

Answer 1

The estimate is reasonable.

Explanation:

Jamie's estimate seems reasonable.

We can see that there is (-24/27) in the bracket, first of all there is negative sign so there will be negative sign in the answer. Moreover, 24 is near to half of 27 so fraction will result in -0.5XXXXX and multiplying it with 1.4 will increase it around -0.75.

We can solve the given fraction for confirmation,

So,

`= 1.43 * ((-24)/(47) )\\=1.43*(-0.5106)\\=-0.7302`

which is near to -0.75 so the estimate of Jamie was right ..